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NeTakaya
2 years ago
12

When the three integers 400, 366, and 213 are divided by a positive integer d > 1, the remainders are the same. What is the l

east possible value of d
Mathematics
1 answer:
raketka [301]2 years ago
8 0

The number d is not a divisor of the integers 400, 366 and 213

The least possible value of d is 17

<h3>How to determine the least possible value of d</h3>

The numbers are given as:

400, 366 and 213

The divisor is given as: d

Where d > 1

To determine the least possible value of d, we make use of the following Python program, where comments are used to explain each action.

#This iterates from 2 to the smallest number of the three divisors

for d in range(2,213):

   #This checks for the common remainder

   if(400%d == 366%d) and (400%d == 213%d):

       #This prints the value of d, when the smallest remainder of all three integers is determined

       print(d)

At the end of the program, the output is 17

Hence, the least possible value of d is 17

Read more about remainders at:

brainly.com/question/25289437

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mr_godi [17]

Answer:

  • 39.7%

Explanation:

<u />

<u>1. First find the density of your chain</u>

  • Density = mass / volume

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                     = 20 ml - 15 ml = 5 ml

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<u />

<u>2. Second, write the denisty of the chain as the weighted average of the densities of the other metals:</u>

Mass of gold × density of gold + mass of other metals × density of other metals, all divided by the mass of the chain.

Calling x the amount of gold, then the amount of other metals is 66.7 - x:

        \dfrac{19.3\cdot x+9.7\cdot (66.7-x)}{66.7}=13.34

       19.3x+635.66-9.7x=889.778

      9.6x=254.118\\\\x=26.47

Then, there are 26.47 grams of gold in 66.7 grams of chain, which yields a percentage of:

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